PPI received a promissory note from a customer in the amount of
$300,000. The note calls for payment of
$100,000 of principal at the end of each year, starting in three
years, plus interest at the rate of 14% per year
on the unpaid balance. Only interest is due at the end of the first
two years. To accelerate the collection,
PPI immediately discounts the note with Idaho First Bank &
Trust which is charging a 12% annual interest
rate. How much will PPI receive in cash from the bank?
PPI will receive the discounted value of the cashflows from the promissory notes which is discounted @ interest charged by the bank for discounting. ie @12%.
Years | Interest | Principal | Total cash flows | Discounting Factor | Present Value |
Year 1 | 42000 | 0 | 42000 | 0.892857143 | 37,500.00 |
Year 2 | 42000 | 0 | 42000 | 0.797193878 | 33,482.14 |
Year 3 | 42000 | 100000 | 142000 | 0.711780248 | 101,072.80 |
Year 4 | 28000 | 100000 | 128000 | 0.635518078 | 81,346.31 |
Year 5 | 14000 | 100000 | 114000 | 0.567426856 | 64,686.66 |
Amount received by PPI | 217,511.86 |
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